106216260605312 has 128 divisors (see below), whose sum is σ = 248605173280800. Its totient is φ = 44564652195840.

The previous prime is 106216260605269. The next prime is 106216260605383. The reversal of 106216260605312 is 213506062612601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106216260605312² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106216260605312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 600081368 + ... + 600258344.

Almost surely, 2^{106216260605312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106216260605312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124302586640400).

106216260605312 is an abundant number, since it is smaller than the sum of its proper divisors (142388912675488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106216260605312 is a wasteful number, since it uses less digits than its factorization.

106216260605312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209804 (or 209792 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 106216260605312 in words is "one hundred six trillion, two hundred sixteen billion, two hundred sixty million, six hundred five thousand, three hundred twelve".